Minkowski valuations on convex functions

被引：33
|
作者：
Colesanti, Andrea [1 ]
Ludwig, Monika [2 ]
Mussnig, Fabian [2 ]
机构：
[1] Univ Florence, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
[2] Vienna Univ Technol, Inst Diskrete Math & Geometrie, Wiedner Hauptstr 8-10-1046, A-1040 Vienna, Austria
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 56卷 / 06期
基金：
奥地利科学基金会;
关键词：
INVARIANT VALUATIONS;
D O I：
10.1007/s00526-017-1243-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Aclassification of SL(n) contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new SL(n) covariant Minkowski valuation on convex functions is defined and characterized.
引用
收藏
页数：29
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